Bifurcation structure of a model of bursting pancreatic cells

BioSystems

Volumn 63, Issue 1-3, 2001, Pages 3-13

  Mosekilde, Erik ^a   Lading, Brian ^a   Yanchuk, Sergiy ^b   Maistrenko, Yuri ^b  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

^b INSTITUTE OF MATHEMATICS   (Ukraine)

Author keywords

Basins of attraction; Bifurcations; Bursting cells; Chaos; Period adding

Indexed keywords

POTASSIUM CHANNEL;

CYTOLOGY;

ARTICLE; CALCIUM CELL LEVEL; CALCIUM CURRENT; CELL MEMBRANE CONDUCTANCE; DYNAMICS; MEMBRANE POTENTIAL; MODEL; OSCILLATION; PANCREAS ISLET BETA CELL; POTASSIUM CURRENT;

CEPHALOPODA;

EID: 0034809769     PISSN: 03032647     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0303-2647(01)00142-3     Document Type: Article

References (30)

1. Dynamic characteristics of electrical activity in pancreatic β-cells
2. Homoclinic bifurcations leading to the emergence of bursting oscillations in cell models
3. Static and dynamic discharge patterns of bursting cold fibers related to hypothetical receptor mechanisms
4. Oscillation and noise determine signal transduction in shark multimodal sensory cells
5. Role of single-channel stochastic noise on burstmg clusters of pancreatic β-cells
6. Minimal model for membrane oscillations in the pancreatic β-cell
7. Glucose response to bursting-spiking pancreatic β-cells by a barrier kinetic model
8. Chaos in a three-variable model of an excitable cell
9. 2+ current
10. Glucose induced electrical activity in pancreatic islet cells
11. Generation of periodic and chaotic bursting in an excitable cell model
12. 2+ oscillations in clusters of pancreatic β-cells exposed to glucose
13. Relevance of dynamic clustering to biological networks
14. Chaotic synchronization between coupled pancreatic β-cells
15. Ionic mechanisms of the glucose-induced membrane potential changes in β-cells
16. Correlations of rates of insulin release from islets and plateau functions for β-cells
17. Voltage oscillations in the barnacle giant muscle fiber
18. Electrophysiology of endocrine cells
19. Mathematical descriptions of a bursting pacemaker neuron by a modification of the Hodgkin-Huxley equations
20. Calcium current inactivation in insulin-secreting cells is mediated by calcium influx and membrane depolarization
21. Model for synchronization of pancreatic β-cells by gap junction coupling
22. Rhythmogenic effects in weak electrotonic coupling in neuronal models
23. Emergence of organized bursting in clusters of pancreatic β-cells by channel sharing
24. Anti-phase, asymmetric and aperiodic oscillations in excitable cells-I. Coupled bursters
25. Why pancreatic islets burst but single β-cells do not
26. Chaotic spikes arising from a model of bursting in excitable membranes
27. The transition from bursting to continuous spiking in excitable membrane models
28. Genesis of bursting oscillations in the Hindmarsh-Rose model and homoclinicity to a chaotic saddle
29. Chaotic synchronization in time-continuous systems